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Daba, Imiru Takele, Duressa, Gemechis File. (1401). A Robust computational method for singularly perturbed delay parabolic convection-diffusion equations arising in the modeling of neuronal variability. سامانه مدیریت نشریات علمی, 10(2), 475-488. doi: 10.22034/cmde.2021.44306.1873
Imiru Takele Daba; Gemechis File Duressa. "A Robust computational method for singularly perturbed delay parabolic convection-diffusion equations arising in the modeling of neuronal variability". سامانه مدیریت نشریات علمی, 10, 2, 1401, 475-488. doi: 10.22034/cmde.2021.44306.1873
Daba, Imiru Takele, Duressa, Gemechis File. (1401). 'A Robust computational method for singularly perturbed delay parabolic convection-diffusion equations arising in the modeling of neuronal variability', سامانه مدیریت نشریات علمی, 10(2), pp. 475-488. doi: 10.22034/cmde.2021.44306.1873
Daba, Imiru Takele, Duressa, Gemechis File. A Robust computational method for singularly perturbed delay parabolic convection-diffusion equations arising in the modeling of neuronal variability. سامانه مدیریت نشریات علمی, 1401; 10(2): 475-488. doi: 10.22034/cmde.2021.44306.1873

A Robust computational method for singularly perturbed delay parabolic convection-diffusion equations arising in the modeling of neuronal variability

Computational Methods for Differential Equations
مقاله 14، دوره 10، شماره 2، تیر 2022، صفحه 475-488    اصل مقاله (238.88 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2021.44306.1873
نویسندگان
Imiru Takele Daba* 1؛ Gemechis File Duressa2
1Department of Mathematics, Wollega University, Nekemte, Ethiopia.
2Department of Mathematics, Jimma University, Jimma, Ethiopia.
چکیده
‎In this study‎, ‎a robust computational method involving exponential cubic spline for solving singularly perturbed parabolic convection-diffusion equations arising in the modeling of neuronal variability has been presented‎. ‎Some numerical examples are considered to validate the theoretical findings‎. ‎The proposed scheme is shown to be an $\varepsilon-$uniformly convergent accuracy of order $ O\left( \left( \Delta t\right)‎ +‎h^2 \right) $‎.
کلیدواژه‌ها
Singularly perturbed problem؛ Exponential cubic spline method؛ Implicit Euler method؛ Delay parabolic differential equation
مراجع
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